The principal result of the paper is that a topological space X has a σ—point finite base if and only if it is the open,compact,continuous image of a metric space.

文[1]证得拓扑空间 X 为可展空间的充要条件是 X 为度量空间的开、p 映射象、[3]又证明 X 具有点可数基当且仅当 X 为度量空间的开、连续、S映射象。 本文的主要结果是:X 具有σ点有限基的充要条件是 X 为度量空间的开、紧、连续映射象。

The principal result is that if G is a 3-connected claw-free graph of order n. δ=min {d (x) | x ∈V（G）}，δ=min{max(d(x),d(y))|x,y∈V(G),d (x,y) = 2 } ≥1/2 (n-δ+ 3),then G is a Hamilton-con nected graph.

The principal result of this paper is to improve the R--C inequality in tea-ching material. Firstly, The probability function is introduced, then thecondition of R--C inequality is abstracted be means of the tool of numberalcharacterictics and finally the R--C inequality is proven simply and strictlyThe result is appropriate for both continuous and discrete random variable.

In the paper, the principal result of the prototype observation is presented, and the special local hydraulic phenomenon, flow pulsation, vibration character of the pier, aerated fogging, dissipation of energy and effect of decreasing erosion are also discussed.

Our principal result is the determination of the radius of starlikeness for thefamily of functions f which satisfy the conditions f∈N and f/g∈Q_α whereg∈V_(λ,β).

In this paper, it was mainly introduced that database structure design, system structure chart, system principal result, function of every modular and program flow diagrams.

The principal result from this research cannot offer support for the export-led growth hypothesis.

The principal result of the paper is a criterion of compactness for mappings quasiconformal in the mean.

The principal result of the paper is the construction of a subsidy-free cost allocation rule for the deterministic multiple-technology long-run system planning problem.

The principal result is the Laplace-Stieltjes transform, for each class, of the interdeparture time distribution function.

The principal result of the analysis is that the institution developed here performs well in the sense that efficiency is increased for a wide range of different initial distributions of wealth.

It was discovered by Mehler in 1951 that in the presence of excess catalase and ethanol, oxygen is consumed by the chloroplast preparation upon illumination and a stoichiometrical amount of CH_3CHO is formed at the same time. This reaction is generally referred as"the Mehler reaction" and is a variation of the Hill reaction with molecular oxygen as oxidant. Recent investigations have shown that in the Vit. K or FMN-mediated photophosphorylation, ATP formation is accompanied by ~(18)O exchange. Hence, an intimate...

It was discovered by Mehler in 1951 that in the presence of excess catalase and ethanol, oxygen is consumed by the chloroplast preparation upon illumination and a stoichiometrical amount of CH_3CHO is formed at the same time. This reaction is generally referred as"the Mehler reaction" and is a variation of the Hill reaction with molecular oxygen as oxidant. Recent investigations have shown that in the Vit. K or FMN-mediated photophosphorylation, ATP formation is accompanied by ~(18)O exchange. Hence, an intimate connection may exist between these two separately discovered reactions of isolated chloroplasts.In the present paper the activities of the Mehler reaction and photophosphorylation of isolated wheat-seedling chloroplasts were simultaneously determined. The principal results were as follows:(1) Among the catalytic cofactors of photophosphorylation, Vit. K and FMN do, whereas PMS does not, enhance the Mehler reaction(Table 1).(2) A parallelism is found between the rates of ATP and CH_3CHO formation in the presence of Vit. K or FMN and also in the absence of added cofactor. The P/O value thus obtained is twice that of simultaneously determined K_3Fe(CN)_6 system and amounts to 2 when the coupling is complete(Table 2, 3).(3) The effects of pH, NH_4~+ and aging of chloroplasts on the Vit. K and on K_3Fe(CN)_6 systems are similar with respect to electron transport and phosphorylation(Fig. 1).(4) Under aerobic condition the P/O value remains practically unchanged upon varying the concentration of the cofactor(Fig. 2).The results of the present investigation showed that the same processes are involved in the Mehler reaction and photophosphorylation mediated by Vit. K or FMN. That the Vit. K or FMN mediated photophosphorylation is actually non-cyclic (?)n nature is conclusively proved. These cofactors are in fact"Hill oxidants" reversibly oxidized by molecular oxygen. Their possible physiological role in the photosynthetic process was briefly discussed.

If one deals with a practical system, arising out of physics or technology, it is quite certain that perturbations will come up which are expressed not only in terms of initial conditions other than x=0 but also, and above all, in terms of the exterior and adventitious actions, for example fairly brusque impulses, etc, This problem is termed by G. N, Dubosin as that "stability in the case of constantly acting disturbances"[2]or"stability under persistent distur-bance". Simple sufficient conditions for such stability...

If one deals with a practical system, arising out of physics or technology, it is quite certain that perturbations will come up which are expressed not only in terms of initial conditions other than x=0 but also, and above all, in terms of the exterior and adventitious actions, for example fairly brusque impulses, etc, This problem is termed by G. N, Dubosin as that "stability in the case of constantly acting disturbances"[2]or"stability under persistent distur-bance". Simple sufficient conditions for such stability have been obtained by I. G. Malkin[3].In this paper, we consider the necessity of Malkin's conditions in quite general case and prove that for the particular case of two dimensional autonomous systems, assumed analytic, the malkini's conditions are necessary.The author finds that Theorem Ⅳ in Malkin's article is erroneous. Thus, many counter examples are constructed for showing that the stability under persistent disturbance may happen in a system which is stable but not asymptotically stable in the sense of Liapunov.The principal result may be extended to n-dimensional autonomous systems. Further, criterion for unstability under persistent disturbance is given.